Question

six tiles lettered c, o, o, k, i, and e are lying facedown on a table. a tile is selected, the letter is recorded, the tile is replaced, and the process is repeated.
what is the theoretical probability of selecting the letter o?
1/6
1/2
2/6
1/3

Explanation:

Step1: Determine total number of tiles

There are 6 tiles in total.

Step2: Determine number of 'O' tiles

There are 2 'O' tiles.

Step3: Use probability formula

Probability \( P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \). Here, number of favorable outcomes (selecting 'O') is 2, total number of outcomes is 6. So \( P = \frac{2}{6}=\frac{1}{3}\)

Answer:

\(\frac{1}{3}\)